Given numbers are 428,279,537,138

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 428,279,537,138 is 491619204.

Find LCM of 428,279,537,138 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 214 x 93 x 179 x 23 = 491619204

Therefore, the lowest common multiple of 428,279,537,138 is 491619204.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

428 x 279 x 537 x 138 = 8849145672

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

428 : 1, 2, 4, 107, 214, 428

279 : 1, 3, 9, 31, 93, 279

537 : 1, 3, 179, 537

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,279,537,138, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

279:3x 3x 31

537:3x 179

138:2x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 8849145672/(1x18)

LCM = 8849145672/18

LCM = 491619204

Thus, we can understand that the LCM of 428,279,537,138 is 491619204.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 349, 846, 190, 382
• LCM of 200, 454, 764, 849
• LCM of 920, 726, 784, 779
• LCM of 132, 394, 314, 368
• LCM of 990, 286, 329, 488

1. What is the LCM of 428, 279, 537, 138?

Answer: LCM of 428, 279, 537, 138 is 491619204.

2. How to calculate the LCM of 428, 279, 537, 138?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 428, 279, 537, 138.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.